3 years ago

What is the evalate -12-2

Mathematics

1 answer:

serious [3.7K]3 years ago

5 0

If it's -12-2 is has to be -14

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By which angle measures can the regular pentagon be rotated so it maps onto itself?

vazorg [7]

Answer:

hi there the answer is 72

Step-by-step explanation:

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2 years ago

Show that 3 · 4^n + 51 is divisible by 3 and 9 for all positive integers n.

-BARSIC- [3]

Answer:

Step-by-step explanation:

Hello, please consider the following.

$3\cdot 4^n+51=3\cdot 4^n+3\cdot 17=3(4^n+17)$

So this is divisible by 3.

Now, to prove that this is divisible by 9 = 3*3 we need to prove that

$4^n+17$ is divisible by 3. We will prove it by induction.

Step 1 - for n = 1

4+17=21= 3*7 this is true

Step 2 - we assume this is true for k so $4^k+17$ is divisible by 3

and we check what happens for k+1

$4^{k+1}+17=4\cdot 4^k+17=3\cdot 4^k + 4^k+17$

$3\cdot 4^k$ is divisible by 3 and

$4^k+17$ is divisible by 3, by induction hypothesis

So, the sum is divisible by 3.

Step 3 - Conclusion

We just prove that $4^n+17$ is divisible by 3 for all positive integers n.

Thanks

4 0

3 years ago

Factor the expression 24x + 18y =

dangina [55]

24x = 2,2,2,3,x
18y = 2,3,3,y

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3 years ago

Read 2 more answers

Multiply or divide. Show your work 5x+10 . 2x _____ ___ x+2 4x-10

sp2606 [1]

$\frac{2x(5x+10)}{(x+2)(4x-10)} = \frac{10x(x+2)}{2(x+2)(2x-5)} = \frac{5x}{2x+5}$

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2 years ago

Solve the following systems mathematically using substitution -4x-3y=12 y=2x-14

miv72 [106K]

Answer:

(3,-8)

Step-by-step explanation:

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3 years ago